2016/01/19 by Sebastián Zamorano, Zamorano, S. · 1 citation
Engineering · Mathematics · Computer Science · #Stability and Controllability of Differential Equations #Navier-Stokes equation solutions #Advanced Mathematical Modeling in Engineering
paper · pdf · doi:10.48550/arxiv.1601.04984
This paper is devoted to the study of the turnpike phenomenon arising in the optimal distributed control tracking-type problem for the Navier-Stokes equations. We obtain a positive answer to this property in the case when the controls are time-dependent functions, and also when are independent of time. In both cases we prove an exponential turnpike property assuming that the stationary optimal state satisfy certain properties of smallness.